SOME PROPERTIES OF TENSOR CENTRE OF GROUPS

Title & Authors
SOME PROPERTIES OF TENSOR CENTRE OF GROUPS

Abstract
Let $\small{G{\otimes}G}$ be the tensor square of a group G. The set of all elements a in G such that \$a{\otimes}g\;
Keywords
non-abelian tensor square;tensor centre;relative central extension;capable group;
Language
English
Cited by
1.
Categorizing finite p-groups by the order of their non-abelian tensor squares, Journal of Algebra and Its Applications, 2016, 15, 05, 1650095
References
1.
R. Brown, D. L. Johnson, and E. F. Robertson, Some computations of nonabelian tensor products of groups, J. Algebra 111 (1987), no. 1, 177–202.

2.
R. Brown and J.-L. Loday, Van Kampen theorems for diagrams of spaces, With an appendix by M. Zisman. Topology 26 (1987), no. 3, 311–335.

3.
G. J. Ellis, Tensor products and q-crossed modules, J. London Math. Soc. (2) 51 (1995), no. 2, 243–258.

4.
G. J. Ellis, Capability, homology, and central series of a pair of groups, J. Algebra 179 (1996), no. 1, 31–46.

5.
T. Ganea, Homologie et extensions centrales de groupes, C. R. Acad. Sci. Paris Ser. A-B 266 (1968), A556–A558.

6.
N. D. Gilbert, The nonabelian tensor square of a free product of groups, Arch. Math. (Basel) 48 (1987), no. 5, 369–375.

7.
C. Miller, The second homology group of a group; relations among commutators, Proc. Amer. Math. Soc. 3 (1952), 588–595.

8.
S. Shahriari, On normal subgroups of capable groups, Arch. Math. (Basel) 48 (1987), no. 3, 193–198.

9.
J. H. C. Whitehead, A certain exact sequence, Ann. of Math. (2) 52 (1950), 51-110.